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Barycentric-sum problems: A survey
ArticleAbstract: Let G be a finite abelian group. A sequence in G is barycentric if it contains one element "average"Palabras claves:Barycentric Davenport constant, Barycentric Ramsey number, Barycentric sequence, Davenport constant, K-barycentric Davenport constant, Strong k-barycentric Davenport constantAutores:Domingo Quiroz, Ordaz O.Fuentes:googlescopusConstrained and generalized barycentric Davenport constants
ArticleAbstract: Let G be a finite abelian group. The constrained barycentric Davenport constant BDs(G) with s ≥ 2, iPalabras claves:Barycentric Davenport constant, Barycentric sequence, Constrained barycentric Davenport constant, Davenport constant, Generalized barycentric Davenport constant, Zero-sumAutores:Domingo Quiroz, González L., Márquez I., Ordaz O.Fuentes:googlescopusMulti-wise and constrained fully weighted Davenport constants and interactions with coding theory
ArticleAbstract: We consider two families of weighted zero-sum constants for finite abelian groups. For a finite abelPalabras claves:Cap set, Davenport constant, Finite abelian group, Linear intersecting code, Weighted subsum, Zero-sum problemAutores:Luz Elimar Marchan, Ordaz O., Santos I., Schmid W.A.Fuentes:googlescopusOn viruses in graphs and digraphs
ArticleAbstract: A virus is a local configuration that, if present in a graph or a digraph, forbids these graphs or dPalabras claves:Digraph, Digraph property, graph, Graph property, virusAutores:Domingo Quiroz, González L., Ordaz O.Fuentes:googlescopusMaximum line-free set geometry in ℤ<sup>d</sup><inf>3</inf>
ArticleAbstract: Let ℤd3 be the affine space of dimension d on the ℤ3 field. The main goal of this paper is the geomePalabras claves:Affine space, Hyperplane, Line, Line-free, Plane, Zero-sumAutores:Delorme C., Domingo Quiroz, Márquez I., Ordaz O.Fuentes:googlescopusInverse results for weighted Harborth constants
ArticleAbstract: For a finite abelian group (G, +), the Harborth constant is defined as the smallest integer ℓ such tPalabras claves:Erdos-Ginzburg-Ziv constant, Finite abelian group, Weighted subsum, Zero-sum problemAutores:Luz Elimar Marchan, Ordaz O., Ramos D., Schmid W.A.Fuentes:googlescopusRepresentation of finite abelian group elements by subsequence sums
ArticleAbstract: Let G ≅ Cn1 ⊕ ⋯ ⊕ Cnr be a finite and nontrivial abelian group with n1|n2| ⋯ |nr. A conjecture of HaPalabras claves:d*(G), Davenport constant, Setpartition, Weighted subsequence sums, Zero-sum problemAutores:Grynkiewicz D., Luz Elimar Marchan, Ordaz O.Fuentes:googlescopusRepresentation of group elements as subsequence sums
ArticleAbstract: Let G be a finite (additive written) abelian group of order n. Let w1, ..., wn be integers coprime tPalabras claves:Erdo{combining double acute accent}s-Ginzburg-Ziv Theorem, Representation of groups, Zero-sum sequencesAutores:Domingo Quiroz, Ordaz O.Fuentes:googlescopusSome remarks on Davenport constant
ArticleAbstract: Several problems about generalizations of the Davenport constant in abelian and non-abelian finite gPalabras claves:Abelian groups, Davenport constant, Zero-sum sequenceAutores:Delorme C., Domingo Quiroz, Ordaz O.Fuentes:googlescopus